通过序数和分解具有连续基础函数的伪无穷级数

IF 8.1 1区计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS

Information Sciences Pub Date : 2024-10-22 DOI:10.1016/j.ins.2024.121573

Juraj Kalafut , Andrea Mesiarová-Zemánková

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引用次数: 0

摘要

本文描述了通过克利福德序数和对所有在单位区间上定义的具有连续底函数的伪无穷期的分解。结果表明，每一个这样的伪不等式都可以分解为可表示的三元半群，以及定义在两点上的特殊半群，其中相应的半群运算是对其中一个坐标的投影。此外，还描述了线性阶，对于线性阶，这些半群的序和产生一个伪统一矩。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Decomposition of pseudo-uninorms with continuous underlying functions via ordinal sum

The decomposition of all pseudo-uninorms with continuous underlying functions, defined on the unit interval, via Clifford's ordinal sum is described. It is shown that each such pseudo-uninorm can be decomposed into representable and trivial semigroups, and special semigroups defined on two points, where the corresponding semigroup operation is the projection to one of the coordinates. Linear orders, for which the ordinal sum of such semigroups yields a pseudo-uninorm, are also characterized.

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来源期刊

Information Sciences 工程技术-计算机：信息系统

CiteScore

14.00

自引率

17.30%

发文量

1322

审稿时长

10.4 months

期刊介绍： Informatics and Computer Science Intelligent Systems Applications is an esteemed international journal that focuses on publishing original and creative research findings in the field of information sciences. We also feature a limited number of timely tutorial and surveying contributions. Our journal aims to cater to a diverse audience, including researchers, developers, managers, strategic planners, graduate students, and anyone interested in staying up-to-date with cutting-edge research in information science, knowledge engineering, and intelligent systems. While readers are expected to share a common interest in information science, they come from varying backgrounds such as engineering, mathematics, statistics, physics, computer science, cell biology, molecular biology, management science, cognitive science, neurobiology, behavioral sciences, and biochemistry.